Question

What are the coordinates of the center of a circle if the endpoints of its diameter are A(8, –4) and B(–3, 2)?

Answer 1

Let the co-ordinates of mid point be(x,y)
As the centre is the mid-point,
Then,
x= (8+ (-3) )/2 = 5/2= 2.5
y= (-4 + 2 )/2 =-2/2 = -1
Therefore, the co-ordinates would be (2.5 , -1)